The positive realization problem for linear systems is to find conditions, for a given transfer function with nonnegative impulse response, to have a realization such that the resulting system is a positive system. Recently, it has been shown that, under a mild assumption on the long-term behaviour of the impulse response, this problem is related to the maximum modulus poles only. In this paper necessary and sufficient conditions for positive realizability of discrete-time systems are given. They show that also nondominant poles play a role in the most general case. Positive realizability conditions for the continuous-time case are also given.

On the existence of a positive realization / Farina, Lorenzo. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 28:(1996), pp. 219-226. [10.1016/0167-6911(96)00033-3]

On the existence of a positive realization

FARINA, Lorenzo
1996

Abstract

The positive realization problem for linear systems is to find conditions, for a given transfer function with nonnegative impulse response, to have a realization such that the resulting system is a positive system. Recently, it has been shown that, under a mild assumption on the long-term behaviour of the impulse response, this problem is related to the maximum modulus poles only. In this paper necessary and sufficient conditions for positive realizability of discrete-time systems are given. They show that also nondominant poles play a role in the most general case. Positive realizability conditions for the continuous-time case are also given.
1996
01 Pubblicazione su rivista::01a Articolo in rivista
On the existence of a positive realization / Farina, Lorenzo. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 28:(1996), pp. 219-226. [10.1016/0167-6911(96)00033-3]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47072
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 110
  • ???jsp.display-item.citation.isi??? 109
social impact